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Finding the Fourth Proportional to 243.90, 365.67 and 152.46

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Solution

The fourth proportional to 243.90, 365.67 and 152.46 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.90 : 365.67 = 152.46 : x
  2. Step 2: Convert to fraction form
    243.90/365.67 = 152.46/x
  3. Step 3: Cross multiply
    243.90x = 365.67 × 152.46
  4. Step 4: Simplify right side
    243.90x = 55,750.05
  5. Step 5: Solve for x
    x = 55,750.05/243.90
  6. Step 6: Final answer
    x = 228.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.